Hypersurfaces With a Common Geodesic Curve in 4D Euclidean space E4
-
Published:2023-07-10
Issue:
Volume:21
Page:68
-
ISSN:2291-8639
-
Container-title:International Journal of Analysis and Applications
-
language:
-
Short-container-title:Int. J. Anal. Appl.
Abstract
In this paper, we attain the problem of constructing hypersurfaces from a given geodesic curve in 4D Euclidean space E4. Using the Serret–Frenet frame of the given geodesic curve, we express the hypersurface as a linear combination of this frame and analyze the necessary and sufficient conditions for that curve to be geodesic. We illustrate this method by presenting some examples.
Publisher
SCIK Publishing Corporation
Subject
Applied Mathematics,Geometry and Topology,Business and International Management,Analysis